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Polynomial differential equations compute all real computable functions on computable compact intervals

  • Published:2007-06 Issue:3 Volume:23 Page:317-335
  • ISSN:0885-064X
  • Container-title:Journal of Complexity
  • language:en
  • Short-container-title:Journal of Complexity

Author:

Bournez Olivier,Campagnolo Manuel L.,Graça Daniel S.,Hainry Emmanuel

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference22 articles.

1. Ordinary Differential Equations;Arnold,1978

2. On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines;Blum;Bull. Am. Math. Soc.,1989

3. Recursive analysis characterized as a class of real recursive functions;Bournez;Fund. Inform.,2006

4. The differential analyzer, A new machine for solving differential equations;Bush;J. Franklin Inst.,1931

5. Some recent developments on Shannon's general purpose analog computer;Graça;Math. Log. Quart.,2004

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